
Guosheng Fu
Assistant Professor · Numerical Solution of Differential Equations
University of Notre DameAbout
Guosheng Fu is the Robert and Sara Lumpkins Assistant Professor at the University of Notre Dame's Department of Applied and Computational Mathematics and Statistics (ACMS), part of the College of Science. His research focuses on numerical methods for partial differential equations, scientific computing, and high-order finite element techniques. He holds a Ph.D. from the University of Minnesota (2016), an M.S. from the same institution (2014), and a B.S. from Nankai University, China (2011).
His education includes:
- Ph.D. in Applied Mathematics, University of Minnesota, 2016
- M.S. in Applied Mathematics, University of Minnesota, 2014
- B.S. in Mathematics, Nankai University, 2011
His research interests emphasize numerical solution strategies for complex systems, including fluid-structure interaction, optimal transport, and reaction-diffusion processes. Recent work highlights high-order discontinuous Galerkin (DG) methods, HDG schemes, and preconditioning techniques for incompressible flows and elasticity problems. His publications explore topics like divergence-free formulations, energy stability, and adaptive algorithms for nonlinear PDEs.
Notable contributions include advancing hybridizable DG methods for fluid dynamics, developing robust numerical schemes for porous media flow, and creating efficient solvers for mean field control problems. His work bridges computational mathematics with applications in engineering and physical sciences.
He currently holds no listed scientific awards but has an active research program supported by his academic position and collaborations. No advising or grant details are explicitly provided in the text.
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